2107953666 has 128 divisors (see below), whose sum is σ = 5888655360. Its totient is φ = 544055616.

The previous prime is 2107953649. The next prime is 2107953667. The reversal of 2107953666 is 6663597012.

It is not an unprimeable number, because it can be changed into a prime (2107953667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226395 + ... + 235521.

It is an arithmetic number, because the mean of its divisors is an integer number (46005120).

Almost surely, 2^2107953666 is an apocalyptic number.

2107953666 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107953666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944327680).

2107953666 is an abundant number, since it is smaller than the sum of its proper divisors (3780701694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2107953666 is a wasteful number, since it uses less digits than its factorization.

2107953666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9205 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2107953666 is about 45912.4565450380. The cubic root of 2107953666 is about 1282.1938423128.

The spelling of 2107953666 in words is "two billion, one hundred seven million, nine hundred fifty-three thousand, six hundred sixty-six".